Piecewise distribution function estimation with Generalized Pareto for tail
Hello all, I am trying to estimate the cumulative distribution function for a single stock return time series. A piecewise estimation is composed of three parts: parametric generalized Pareto (GP) for the lower tail (10% of the observation), non-parametric kernel-smoothed interior (80% of the observations), and GP for the upper tail (10%). I wonder if anyone has clue about this in R. The software of Matlab has a function called 'paretotails' in the Econometrics Toolbox to do the estimation. On this site, a couple of old messages were related but no clear answers were given. Any help is greatly appreciated. Edwin Sun